Quasi self-adjoint nonlinear wave equations

被引：30
|
作者：
Ibragimov, N. H. [1 ]
Torrisi, M. [2 ]
Tracina, R. [2 ]
机构：
[1] Blekinge Inst Technol, Dept Math & Sci, SE-37179 Karlskrona, Sweden
[2] Univ Catania, Dipartimento Matemat & Informat, I-95124 Catania, Italy
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2010年 / 43卷 / 44期
关键词：
D O I：
10.1088/1751-8113/43/44/442001
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper we generalize the classification of self-adjoint second-order linear partial differential equation to a family of nonlinear wave equations with two independent variables. We find a class of quasi self-adjoint nonlinear equations which includes the self-adjoint linear equations as a particular case. The property of a differential equation to be quasi self-adjoint is important, e. g. for constructing conservation laws associated with symmetries of the differential equation.
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页数：8
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